%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : SYN697-1 : TPTP v9.3.1. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% Computer : n012.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Fri Sep 25 03:41:25 PM UTC 2026
% Result : Unsatisfiable 1.47s 0.97s
% Output : CNFRefutation 1.47s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 9
% Syntax : Number of formulae : 32 ( 13 unt; 0 def)
% Number of atoms : 63 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 64 ( 33 ~; 31 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 5 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 11 ( 11 usr; 5 con; 0-2 aty)
% Number of variables : 31 ( 0 sgn 31 !; 0 ?; 20 :)
% Comments :
%------------------------------------------------------------------------------
fof(f12,negated_conjecture,
! [X0] : p2(X0,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_12) ).
fof(f16,negated_conjecture,
p2(c44,c45),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_16) ).
fof(f30,negated_conjecture,
! [X0,X1] :
( ~ p2(X0,X1)
| p3(f4(X0),f4(X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p3_30) ).
fof(f41,negated_conjecture,
! [X2,X0,X1] :
( ~ p2(X2,X1)
| ~ p2(X2,X0)
| p2(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_41) ).
fof(f45,negated_conjecture,
p31(f11(f4(f5(c42)),c43),f11(f4(c42),c43)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p31_45) ).
fof(f54,negated_conjecture,
p2(f11(f4(f23(c44,f9(f20(c37)))),c43),f11(f4(c44),c43)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_54) ).
fof(f55,negated_conjecture,
~ p2(f11(f4(c45),c43),f11(f4(f23(c44,f9(f20(c37)))),c43)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_p2_55) ).
fof(f57,negated_conjecture,
! [X0] :
( ~ p31(f11(f4(f5(c42)),X0),f11(f4(c42),X0))
| p10(X0,c43) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p10_57) ).
fof(f61,negated_conjecture,
! [X2,X3,X0,X1] :
( ~ p3(X0,X2)
| ~ p10(X1,X3)
| p2(f11(X0,X1),f11(X2,X3)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_61) ).
tcf(c_133,negated_conjecture,
! [X0: $i] : p2(X0,X0),
inference(cnf_transformation,[],[f12]) ).
tcf(c_137,negated_conjecture,
p2(c44,c45),
inference(cnf_transformation,[],[f16]) ).
tcf(c_151,negated_conjecture,
! [X0: $i,X1: $i] :
( p3(f4(X0),f4(X1))
| ~ p2(X0,X1) ),
inference(cnf_transformation,[],[f30]) ).
tcf(c_162,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( p2(X1,X2)
| ~ p2(X0,X2)
| ~ p2(X0,X1) ),
inference(cnf_transformation,[],[f41]) ).
tcf(c_166,negated_conjecture,
p31(f11(f4(f5(c42)),c43),f11(f4(c42),c43)),
inference(cnf_transformation,[],[f45]) ).
tcf(c_175,negated_conjecture,
p2(f11(f4(f23(c44,f9(f20(c37)))),c43),f11(f4(c44),c43)),
inference(cnf_transformation,[],[f54]) ).
tcf(c_176,negated_conjecture,
~ p2(f11(f4(c45),c43),f11(f4(f23(c44,f9(f20(c37)))),c43)),
inference(cnf_transformation,[],[f55]) ).
tcf(c_178,negated_conjecture,
! [X0: $i] :
( p10(X0,c43)
| ~ p31(f11(f4(f5(c42)),X0),f11(f4(c42),X0)) ),
inference(cnf_transformation,[],[f57]) ).
tcf(c_182,negated_conjecture,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( p2(f11(X2,X0),f11(X3,X1))
| ~ p3(X2,X3)
| ~ p10(X0,X1) ),
inference(cnf_transformation,[],[f61]) ).
tcf(c_663,plain,
( p10(c43,c43)
| ~ p31(f11(f4(f5(c42)),c43),f11(f4(c42),c43)) ),
inference(instantiation,[status(thm)],[c_178]) ).
tcf(c_666,plain,
! [X0: $i] :
( p2(f11(f4(c45),c43),f11(f4(f23(c44,f9(f20(c37)))),c43))
| ~ p2(X0,f11(f4(c45),c43))
| ~ p2(X0,f11(f4(f23(c44,f9(f20(c37)))),c43)) ),
inference(instantiation,[status(thm)],[c_162]) ).
tcf(c_689,plain,
! [X0: $i,X1: $i] :
( p2(f11(f4(c45),c43),f11(f4(f23(c44,f9(f20(c37)))),c43))
| ~ p2(f11(X0,X1),f11(f4(c45),c43))
| ~ p2(f11(X0,X1),f11(f4(f23(c44,f9(f20(c37)))),c43)) ),
inference(instantiation,[status(thm)],[c_666]) ).
tcf(c_690,plain,
! [X0: $i,X1: $i] :
( p2(f11(X0,X1),f11(f4(c45),c43))
| ~ p10(X1,c43)
| ~ p3(X0,f4(c45)) ),
inference(instantiation,[status(thm)],[c_182]) ).
tcf(c_744,plain,
! [X0: $i] :
( p3(f4(X0),f4(c45))
| ~ p2(X0,c45) ),
inference(instantiation,[status(thm)],[c_151]) ).
tcf(c_784,plain,
! [X0: $i] :
( p2(f11(X0,c43),f11(f4(c45),c43))
| ~ p10(c43,c43)
| ~ p3(X0,f4(c45)) ),
inference(instantiation,[status(thm)],[c_690]) ).
tcf(c_869,plain,
( p3(f4(c44),f4(c45))
| ~ p2(c44,c45) ),
inference(instantiation,[status(thm)],[c_744]) ).
tcf(c_1017,plain,
( p2(f11(f4(c44),c43),f11(f4(c45),c43))
| ~ p10(c43,c43)
| ~ p3(f4(c44),f4(c45)) ),
inference(instantiation,[status(thm)],[c_784]) ).
tcf(c_1816,plain,
( p2(f11(f4(c45),c43),f11(f4(f23(c44,f9(f20(c37)))),c43))
| ~ p2(f11(f4(c44),c43),f11(f4(c45),c43))
| ~ p2(f11(f4(c44),c43),f11(f4(f23(c44,f9(f20(c37)))),c43)) ),
inference(instantiation,[status(thm)],[c_689]) ).
tcf(c_2532,plain,
! [X0: $i] :
( p2(f11(f4(c44),c43),f11(f4(f23(c44,f9(f20(c37)))),c43))
| ~ p2(X0,f11(f4(c44),c43))
| ~ p2(X0,f11(f4(f23(c44,f9(f20(c37)))),c43)) ),
inference(instantiation,[status(thm)],[c_162]) ).
tcf(c_2817,plain,
! [X0: $i] : p2(f11(f4(X0),c43),f11(f4(X0),c43)),
inference(instantiation,[status(thm)],[c_133]) ).
tcf(c_2934,plain,
( p2(f11(f4(c44),c43),f11(f4(f23(c44,f9(f20(c37)))),c43))
| ~ p2(f11(f4(f23(c44,f9(f20(c37)))),c43),f11(f4(c44),c43))
| ~ p2(f11(f4(f23(c44,f9(f20(c37)))),c43),f11(f4(f23(c44,f9(f20(c37)))),c43)) ),
inference(instantiation,[status(thm)],[c_2532]) ).
tcf(c_3761,plain,
p2(f11(f4(f23(c44,f9(f20(c37)))),c43),f11(f4(f23(c44,f9(f20(c37)))),c43)),
inference(instantiation,[status(thm)],[c_2817]) ).
tcf(c_3762,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_3761,c_2934,c_1816,c_1017,c_869,c_663,c_176,c_175,c_166,c_137]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : SYN697-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.02 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.02/0.30 % Computer : n012.cluster.edu
% 0.02/0.30 % Model : x86_64 x86_64
% 0.02/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.02/0.30 % Memory : 8046.5625MB
% 0.02/0.30 % OS : Linux 6.8.0-71-generic
% 0.02/0.30 % CPULimit : 300
% 0.02/0.30 % WCLimit : 300
% 0.02/0.30 % DateTime : Fri Sep 25 02:06:35 UTC 2026
% 0.02/0.30 % CPUTime :
% 0.02/0.30 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.02/0.32 Running first-order theorem proving
% 0.02/0.32 Running: /export/starexec/sandbox2/solver/bin/iproveropt-multi-core.sh -d -n -l tptp -s fof_schedule -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.02/0.32
% 0.02/0.32 % ======== iProver multi-core TPTP/SMT =========
% 0.02/0.32
% 0.02/0.32 % Detected problem language: tptp
% 0.07/0.33 % Proving...
% 1.47/0.97 % SZS status Started for theBenchmark.p
% 1.47/0.97 % SZS status Unsatisfiable for theBenchmark.p
% 1.47/0.97
% 1.47/0.97 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 1.47/0.97
% 1.47/0.97 % ------ iProver source info
% 1.47/0.97
% 1.47/0.97 % git: date: 2026-07-19 20:42:38 +0200
% 1.47/0.97 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 1.47/0.97 % git: non_committed_changes: false
% 1.47/0.97
% 1.47/0.97 % ------ Parsing...% successful
% 1.47/0.97
% 1.47/0.97
% 1.47/0.97 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 1.47/0.97
% 1.47/0.97 % ------ Preprocessing... sf_s rm: 41 0s sf_e pe_s pe_e sf_s rm: 0 0s sf_e pe_s pe_e %
% 1.47/0.97
% 1.47/0.97 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 1.47/0.97 % ------ Proving...
% 1.47/0.97 % ------ Problem Properties
% 1.47/0.97
% 1.47/0.97 %
% 1.47/0.97 % clauses 32
% 1.47/0.97 % conjectures 32
% 1.47/0.97 % EPR 9
% 1.47/0.97 % Horn 32
% 1.47/0.97 % unary 14
% 1.47/0.97 % binary 6
% 1.47/0.97 % lits 63
% 1.47/0.97 % lits eq 0
% 1.47/0.97 % fd_pure 0
% 1.47/0.97 % fd_pseudo 0
% 1.47/0.97 % fd_cond 0
% 1.47/0.97 % fd_pseudo_cond 0
% 1.47/0.97 % AC symbols 0
% 1.47/0.97
% 1.47/0.97 % ------ Schedule dynamic 5 is on
% 1.47/0.97
% 1.47/0.97 % ------ no equalities: superposition off
% 1.47/0.97
% 1.47/0.97 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 1.47/0.97
% 1.47/0.97
% 1.47/0.97 % ------
% 1.47/0.97 % Current options:
% 1.47/0.97 % ------
% 1.47/0.97
% 1.47/0.97
% 1.47/0.97 %
% 1.47/0.97
% 1.47/0.97 % ------ Proving...
% 1.47/0.97 %
% 1.47/0.97
% 1.47/0.97 % SZS status Unsatisfiable for theBenchmark.p
% 1.47/0.97
% 1.47/0.97 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 1.47/0.97
% 1.47/0.97
%------------------------------------------------------------------------------